Question

Alpha particles (charge = +2e, mass = 6.68 × 10-27 kg) are accelerated in a cyclotron...

Alpha particles (charge = +2e, mass = 6.68 × 10-27 kg) are accelerated in a cyclotron to a final orbit radius of 0.35 m. The particles undergo uniform circular motion in a magnetic field equal to 0.9 T. What is the cyclotron frequency of the alpha particles?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given that B = 0.9 T mass of alpha particle = 6.68 * 10-27 kg charge of alpha particle = +2e ; Radius r = 0.35m q = +2e ==> +2(1.6 * 10-19 C)

We know that  F = m2 / r ----------------- (1) F = qVB -------------------- (2) From equation 1 & 2 m2 / r = qVB ==> m / r = qB / r = qB/m ===> r/ = m/qB   Velocity = distance / time = 2r / T Time period T = 2r / V = 2(r / V) Therefore cyclotron frequency = V = 2 * m / qB = 2*(6.68*10-27) / 2 * (1.6*10-19)*(0.9T) = 4.195 * 10-26 / 2.88 * 10-19 = 1.4565 * 10-7 sec   V = 0.14 s

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An α-particle has a charge of +2e and a mass of 6.64 × 10-27 kg. It...
An α-particle has a charge of +2e and a mass of 6.64 × 10-27 kg. It is accelerated from rest through a potential difference that has a value of 1.45 × 106 V and then enters a uniform magnetic field whose magnitude is 1.75 T. The α-particle moves perpendicular to the magnetic field at all times. What is (a) the speed of the α-particle, (b) the magnitude of the magnetic force on it, and (c) the radius of its circular...
An α-particle has a charge of +2e and a mass of 6.64 × 10-27 kg. It...
An α-particle has a charge of +2e and a mass of 6.64 × 10-27 kg. It is accelerated from rest through a potential difference that has a value of 1.71 × 106 V and then enters a uniform magnetic field whose magnitude is 1.54 T. The α-particle moves perpendicular to the magnetic field at all times. What is (a) the speed of the α-particle, (b) the magnitude of the magnetic force on it, and (c) the radius of its circular...
9. Alpha particles (charge q = +2e, mass m = 6.6×10−27kg) move at 1.3×106 m/s. What...
9. Alpha particles (charge q = +2e, mass m = 6.6×10−27kg) move at 1.3×106 m/s. What magnetic field strength would be required to bend them into a circular path of radius r = 0.23 m ?
A helium ion (Q = + 2e) whose mass is 6.6 × 10–27 kg is accelerated...
A helium ion (Q = + 2e) whose mass is 6.6 × 10–27 kg is accelerated by a voltage of 2500 V. What will be its radius of curvature if it moves in a plane perpendicular to a uniform 0.6-T field? Answer in cm
a helium atom, with a charge of 2e and a mass of 6.6 × 10 to...
a helium atom, with a charge of 2e and a mass of 6.6 × 10 to the -27 kg, is accelerated by a voltage of 3200 Volts in a uniform magnetic field of 0.240 T. A) what is the speed of the helium atom? B) what is the radius of curvature of the helium atom? C) what is the helium atom's period of revolution?
A proton (mass mp), a deuteron (m=2mp,Q=e), and an alpha particle (m=4mp,Q=2e) are accelerated by the...
A proton (mass mp), a deuteron (m=2mp,Q=e), and an alpha particle (m=4mp,Q=2e) are accelerated by the same potential difference V and then enter a uniform magnetic field B⃗ , where they move in circular paths perpendicular to B⃗ . Determine the radius of the path for the deuteron in terms of that for the proton. Determine the radius of the path for the alpha particle in terms of that for the proton. Express your answers in terms of rp.
An alpha particle of charge +2e and mass 6.64 × 10-27 kg is moving in the...
An alpha particle of charge +2e and mass 6.64 × 10-27 kg is moving in the +x direction at 1.79×106 m/s. It enters a region where the electric field is 1591 N/C in the -x direction. a. How far will the alpha particle travel before it comes to a stop? 2.33 * 10^-5 m Calculate the acceleration, then use the appropriate kinematic equation. b. How much time will elapse from when the alpha particle enters the electric field to when...
In Rutherford's scattering experiment, alpha particles (m = 6.68 x 10-27 kg, q = +2e) of...
In Rutherford's scattering experiment, alpha particles (m = 6.68 x 10-27 kg, q = +2e) of 7.5 MeV kinetic energy were aimed at a thin gold foil (Z = 79). Some of the alpha particles scattered straight back: 180 degrees. From this data, what is his estimate for the size of the gold nucleus?
1.)what is the frequency of the microwave whose wavelength is 1.60 cm? 2.) Alpha particles of...
1.)what is the frequency of the microwave whose wavelength is 1.60 cm? 2.) Alpha particles of charge q=+2e and mass m=6.6x10^-27 are emitted from a radioactive source at a speed of 1.6x10^10 m/s. What magnetic field strength would be required to bend them into a circular path of radius r=0.25?
An ionized helium atom has a mass of 6.6 × 10-27 kg and a speed of...
An ionized helium atom has a mass of 6.6 × 10-27 kg and a speed of 7.1 × 105 m/s. It moves perpendicular to a 0.94-T magnetic field on a circular path that has a 0.016-m radius. Determine whether the charge of the ionized atom is +e or +2e.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT